I just need help with this question

Answer:

5 pens

Step-by-step explanation:

Currently she has spent:

4(1.19) + 3(1.89) + 4.95 = 15.38

She has this amount left:

$20 - 15.38 = 4.62

So if she wanted to buy as many pens with the $4.62:

4.62/0.78 = 5.84

But you can't buy .84 of a pen, so she can buy 5 pens

Answer: 5 pens

Step-by-step explanation:

FACTS:

andrea has $20.

She bought:

4 paper pads for $1.19 each

3 notebooks for $1.89 each

1 book for $4.95

Will use the remaining money to buy pens that cost 79 cents ($0.79) each.

How many pens can she buy?

Step 1: Find how much she spent on the paper pads

1.19x4= 4.76

Ans= $4.76

Step 2: Find how much she spent on notebooks

3x1.89=$5.67

Ans= $5.67

Step 3: Find how much she has spent so far.

4.76 + 5.67 +4.95= $15.38

Step 4; Find how much she has left.

20-15.38= 4.62

Step 5: Find the number of pens she can buy.

She has $4.62 to buy pens that cost $0.79 (79 cents) each. how many pens can she buy?

To solve this, divide 4.62÷0.79. the decimal makes no difference in what operation you do.

4.62÷0.79= 5.84810126582 which rounds to 5.8 which rounds to 6.

Step 6: Check

REMEMBER:

pens cost $0.79 each

we're assuming she got 6 pens

in order for 6 to be correct, 6x0.79 MUST equal 4.62 or less because that's how money she had to spend on pens.

0.79x6= 4.74. It's wrong. In this case, it's always the number that comes before it, in this case 5.

Even though 5x0.79= 3.95 which is less than 4.62, it must be correct because it makes so much more sense to have some money left than spend more than what you even have. In questions like this, don't always rely on rounding.

Answer= 5 pens

Answer:

Step-by-step explanation:

The question asks you to dilate the rectangle by a scale factor of 1/3.

KEY TERM:

Dilate by a scale factor: You make a shape bigger or smaller by multiplying by a number.

Here, we are dilating by a scale factor of 1/3. Therefore, to solve the problem, you have to multiply each coordinate by 1/3. Also, we are making the shape smaller because we are multiplying by a fraction.

___

STEP 1: LINE UP ALL THE COORDINATE PAIRS

Point U: (-6,6)

Point R: (-6,-3)

Point T: (9,6)

Point S: (9,-3)

Now the easy part is done.

STEP 2: MULTIPLY BY 1/3

It is very important you know how to do this part because it determines the answer. So when i say "multiply by 1/3" i mean multiply each individual number by 1/3.

I'll explain for point u then do the rest:

Point U was originally: -6,6.

-6 x 1/3= -6/3= -2.

6x1/3= 6/3= 2

The "dilated" point U is: (-2,2). I multiplied each individual coordinate by 1/3, one by one.

Point R was originally: (-6,-3)

-6x1/3= -2

-3x1/3= -3/3= -1

The "dilated" point R is (-2,-1)

Point T was originally: (9,6)

9x1/3= 3

6x1/3= 2

The "dilated" point T is (3,2).

Point S was originally (9,-3).

9x1/3= 3

-3x1/3= -1

The "dilated' point S is (3,-1)

Finally, if you ever get confused about the order of the coordinates, it just stays the same. Like 9,-3 becomes the dilated 9 , dilated -3.

STEP 3: GRAPH THE NEW POINTS

see the screenshot, for reference :)

Answer:

Step-by-step explanation:

you dilate each coordinate by a scale factor of 1/3 , making the shape smaller.

Answer:

C. Increase

Step-by-step explanation:

Since the new value is larger than the original value, there was an increase in the number, so it is called percent of increase.

Answer:

Step-by-step explanation:

Let's say that 50% of people liked ice cream in 2020. In 2022, 65% of people liked ice cream. There is an increase of people liking ice cream. So, it is called a percent increase.

Remember...

A) A percent change can be either an increase OR a decrease.

B) A decrease can only LOWER the percentage

So, it has to be C.

Answer:

Step-by-step explanation:

Good luck ✅.

Answer:

4

Step-by-step explanation:

The degree of a polynomial is the variable with the highest degree, in this case you have two variables and generally, when you have two variables, especially when they're grouped you would add the degrees So for example: [tex]xy^3 + x^2y^3[/tex]. The first term xy^3 has a degree of 4 because x has a degree of 1 and y has a degree of 3, adding those two becomes 4, the second term has a degree of 5 so the degree of the polynomial is 5. In your example, you provided [tex]3m^2-n^4[/tex], which you can think of as: [tex]3m^2n^0 * n^4m^0[/tex]. Adding the degrees you get 2 and 4 the highest one is 4, so the degree of the polynomial is 4

Answer:

4

Step-by-step explanation:

Here the exponent of n is 4, which is greater than the exponent of m, which is 2.  Thus, the degree of this expression is 4.

Answer:

Step-by-step explanation:

24.8 to 13.4 as a fraction in lowest terms

we transform into integers

24.8 * 10 = 248

13.4 * 10 = 134

we form the fraction

248/134

It is simplified by the greatest common divisor of 248 and 134, i.e. with 2.

124/67

Answer:

Please see attached image

Step-by-step explanation:

Answer:

1. r = C/2π

2. A = π(C/2π)^2

Step-by-step explanation:

1. C = 2πr^2

C/2π = 2πr/2π

C/2π = r

r = C/2π

2. A = π(C/2π)^2

3. Look at screenshot

Answer:

C^2 = 4πA

Step-by-step explanation:

The first part asks us to isolate r in the equation C = 2πr. We can do that by dividing both sides by C: [tex]r=\frac{C}{2\pi }[/tex]. Note that C stands for the circumference of a circle.

The second step is to plug this value of r into the formula for the area of a circle. We know that the area of a circle is πr^2. We are given π and the exponent, so we just need to plug in [tex]\frac{C}{2\pi }[/tex] and we end up getting [tex]A=\pi (\frac{C}{2\pi })^{2}[/tex]

The third step is to square the term in the parentheses. Whenever we have to square a fraction, all we have to do is square the numerator and the denominator:

[tex](\frac{C}{2\pi })^2=\frac{C^2}{(2\pi )^2}=\frac{C^2}{2^2\pi ^2}[/tex]

In other words,

[tex]A=\pi *\frac{C^2}{2^2\pi ^2}[/tex]

For the fourth step, 2^2 can be evaluated to get 4. We end up getting the following if we do this:

[tex]A=\frac{\pi}{4 } *\frac{C^2}{\pi^2}[/tex]

For the fifth step, we can simplify because the π in the numerator of the first fraction and the π^2 in the denominator of the second fraction cancel (π^2 / π leaves π in the denominator and a 1 in the numerator). If we perform this cancellation, we get the following fraction:

[tex]A=\frac{C^2}{4*\pi}[/tex]

For the final step, we can isolate C^2 by multiply both sides by 4π. Then, we get that C^2 = 4πA

In other words, the circumference of the circle squared is equal to 4π times the area of the circle

Answer:

a) 49 degrees     b) 56 degrees

Step-by-step explanation:

a) Vertical angles are lines that intersect each other that always form the same angles on "opposite" sides. Angle x and the 49 degrees are vertical angles, which means that x also has to be 49 degrees.

- - -

b) We know that any triangles' three internal angles combined equal 180 degrees.

Since we already know two out of three angles in the triangle (63 and 49) we can find the last unknown angle: 180 - (63 + 49) = 68. The unknown angle in the triangle is 68 degrees.

We also know that all straight lines are 180 degrees. The line that angle y rests on is 180 degrees. So we can subtract the 68 degrees from 180 degrees to find that y = (180 - 68) / 2, because angle y is the same on the other side of the 68 degrees.

So:
y = (180 - 68) / 2
y = 112 / 2
y = 56

Angle y is 56 degrees.

Apologies if my explanation is confusing.

Answer:

a) x = 49° C

b) y = 48° C

Step-by-step explanation:

a) x is 49° C because we know that opposite angles are the same which means that x is opposite to 49° C which makes it also 49° C.

b) y is 48° C because angles in a Triangle always add up to 180° C which means that 180 - 83 - 49 = 48 which makes the answer 48° C.

Answer:

B i believe

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ans: 1.1 miles more

Speed = distance/time

Time is 1/5 of an hour

1/5 of 1hr = 1/5 or 0.2 hrs

Speed = 16 mph

So, we're after distance.

Distance = speed x time

= 16mph x 0.2

= 3.2 miles

Walks for 3/7 hour at 5 miles per hour :

Time & speed given, distance is what we're after.

(3/7 of 1hr is 3/7)

Distance = speed x time

= 5mph x 3/7

= 15/7 miles or 2.14285...miles

So, distance is about 2.1 miles to 1 d.p

Thus, 3.2 - 2.142... (the full ans) = 1.057... miles

Well, he biked 1.06 miles or 1.1 miles (depending on how you want to round it) more than walking.

Hope this helps!

Answer:

Given:

To find:

The formula used to calculate percentage is:(value/total value)*100%.

Step-by-step explanation:

Step 1 of 2

After the 20%  sale, the coat costs

100*0.8 = 80 dollars.

Then 5 dollars are taken off for a cost of

80-5 = 75

Step 2 of 2

Now adding on the sales tax,

the final amount is 75(0.8) = 81 dollars

Answer:I think Jordan is this a trick question

Step-by-step explanation:

Answer:

https://www.khanacademy.org/math/ap-statistics/sampling-distribution-ap/sampling-distribution-proportion/a/sampling-distribution-sample-proportion-example

Step-by-step explanation:

Click there and it will tell you

Answer:

21.6 km

Step-by-step explanation:

distance swam on day 2: 6.48+0.720 = 7.2 km

distance swam on day 3: 7.2*3 = 21.6 km

Answer:

36. m^7

37. x^3 y

38. 6v^5

Step-by-step explanation:

Divide the exponents by the number in the radical sign,

so, If no number is given then divide exponents by 2 eg. question 38

36. 7√m^49 means m^(49/7) = m^7

37. 3√x^9y^3 means x^(9/3) y^(3/3) = x^3 y

38. √36v^10 means (√36) v^(10/2) = 6v^5 (√36 = 6)

Answer: 77/3 or 25 2/3

Step-by-step explanation:

1. Convert mixed numbers into improper fractions:

3 1/2 = 3*2+1/2 = 7/2

2 2/3 = 2*3+2/3 = 8/3

1 1/2 = 1*2+1 = 3/2

2. Calculate within parentheses

Multiply and divide from left to right

Add and subtract from left to right

Answer:

- 53 2/3

Step-by-step explanation:

3 1/2 + (-7) x (2 2/3 + 1 1/2)

= 7/2 - 7 (8/3 + 11/2)

= 7/2 -7 (49/6)

= 7/2 - 343/6

= - 161/3

= - 53 2/3

Answer:

0.2 centimeters

Step-by-step explanation:
Strategy 1:

Make the equation: 5=a•s, where s is the scale factor and "a" is the number of centimeters which 5 meters

First, we need to find the scale factor. 50 meters would be s times greater than 2 centimeters. Find s by first converting meters into centimeters
50m=5000cm. 5000cm=2cm*s, so s = 2500
5m=a*2500, a=0.002 meters, and 0.002 meters is equal to 0.2 centimeters.

Strategy 2:
the ratio of the scale drawing to real life will always stay the same, so
2 cm / 50 meters = x / 5 meters, and cross multiply to get
x cm* 50 m = 2 cm * 5 m, so
x cm * 10 = 2 cm
x cm = 2/10 cm
x cm = 0.2 cm

Strategy 3:
Notice that 5 meters is 10 times smaller than 50 meters, so on the scale drawing, we are looking for a number 10 times smaller than 2 centimeters, so  2/10=0.2 cm

Answer:

0.2

Step-by-step explanation:

2 = 50

x = 5

50/5 = 10

do the same on the other side

so 2/10 = 0.2

Answer:

149 liters of test solution (C)

Step-by-step explanation:

We are given that 25 mL of dye are mixed with 1.5 L of water to create 1 bottle of solution. If we convert 25mL to L, we get that there is 0.025 L of dye in each solution, and the total amount of liquid in a bottle of test solution is 1.525 L (0.025 + 1.5). Since we have 98 bottles like, the total amount of test solution is 98*1.525, which is 149.45 L. Since we have to round to the nearest whole number, the answer is C, or 149 L.

Hello!

The length and width are given.

We know the formula for calculating perimeter :

[tex]\fbox {Perimeter = 2(Length + Width)}[/tex]

Let's solve!

∴ The perimeter is 82k + 148.

Answer:

Step-by-step explanation:I would make them make all of them into a decimal or fraction that's how I do it like this       5/2   .45     27.5%

make them into a decimal this time because it looks easy so 5/2 into a decimal will be 2.5. and then 0.45   27.5% into a decimal will be will be 0.275

boom order it         2.5,  0.45,  0.275

Answer:

52

Step-by-step explanation:

131 ounces/2.5 ounces=52.4

=52 sandwich

[tex]\boldsymbol{\dfrac{3}{4}x+0.25(x-6)+28.4 }[/tex]

Use the distributive property to multiply 0.25 by x−6.

[tex]\boldsymbol{\dfrac{3}{4}x+0.25x-1.5+28.4 }[/tex]

combine [tex]\bf{\frac{3}{4}x }[/tex] and 0.25x to get x.

[tex]\boldsymbol{x-1.5+28.4}[/tex]

Add −1.5 and 28.4 to get 26.9.

[tex]\boxed{\boldsymbol{x+26.9}} \ \ \to \ \ \bf{Answer}[/tex]

Answer:

2. It will be a 7 3/4in x 12 1/4in rectangle

4.  31,987 in^2

6. 30 547/640 in^3

Step-by-step explanation:

2. This is a cross-section. In order to get the cross-section, you take your shape. (a 7 3/4 x 12 1/4 x 3 3/4 rectangle) and essentially you remove the last dimension (Height).

4. Take your surface area value (319 35/64) and multiply it by 100 (10 per dimension length and width). This leaves you with 319.87x100 = 31,987 in^2

6. (308 35/64)/10. Pretty easy, take 308.546875, divide by 10, and you get 30.8546875, which is 30 547/640 in^3 in fractions.

Answer:

2. It will be a 7 3/4in x 12 1/4in rectangle

4.  31,987 in^2

6. 30 547/640 in^3

Step-by-step explanation:

2. This is a cross-section. In order to get the cross-section, you take your shape. (a 7 3/4 x 12 1/4 x 3 3/4 rectangle) and essentially you remove the last dimension (Height).

4. Take your surface area value (319 35/64) and multiply it by 100 (10 per dimension length and width). This leaves you with 319.87x100 = 31,987 in^2

6. (308 35/64)/10. Pretty easy, take 308.546875, divide by 10, and you get 30.8546875, which is 30 547/640 in^3 in fractions.

Answer:

0.4763

Step-by-step explanation:

in order to write percents as decimals, you always move the decimal to places to the left.